Equity impacts of school finance reform in South Carolina are studied with the aid of 15 different measures of equity. Results indicate considerable equity improvements in the state from 1978 to 1982. (Author/MLF)

Features and tools to outline and shape the long-term learning process for ratio are presented, with examples. Ratio-anticipating activity and creating visual models and schemes are stressed, with the basis for a theory of teaching and learning ratio presented. (MNS)

This paper reviews the present state, recent trends, and prospective lines of development concerning applied problem solving, modeling, and their respective applications. Four major trends are scrutinized with respect to curriculum inclusion: a widened spectrum of arguments, an increased universality, an increased consolidation, and an extended…

Over 600 pupils in grades five, seven, and nine in Italian schools were asked to choose the operation needed to solve 26 multiplication and division word problems. The findings seemed to confirm the impact of the repeated addition model on multiplication and of the partitive model on division. (MNS)

How computers have affected diagnosis in mathematics is discussed. A distinction is made between errors and mistakes, followed by consideration of computers as a diagnostic tool. The development of algorithms to diagnose errors and of models of student performance is described. (MNS)

This study examined the role and development of applied problem solving in mathematics education in the Finnish comprehensive school. The development during the 1980s of applied problem solving in schools was positive in many ways: the changes were cautious and took place more slowly than had been planned; and many obstacles related to the…

In 1972, the Oregon State Department of Education changed its standards relating to graduation requirements after a survey revealed concern that the high school diploma had lost its credibility. Parkrose School District developed a goal-based curriculum and measurement program to meet the new requirements. From the program's inception, District…

This study introduced a probabilistic model utilizing item response theory (IRT) for dealing with a variety of misconceptions. The model can be used for evaluating the transition behavior of error types, advancement of learning stages, or the stability and persistence of particular misconceptions. Moreover, it apparently can be used for relating…

Psychometric theory has been one of psychology's stronger foundations and a major contributor to the recognition of psychology as a scientific discipline. Basic principles of psychometric theory led to the development of respected intelligence tests and large and comprehensive testing and assessment programs. This paper synthesizes major…

Many educational questions of research interest focus on individual differences in attitudes and behaviors related to academic achievement, changes in such attitudes and behaviors over time, and the types of academic environments that facilitate or prevent development of achievement attitudes and behaviors at school. This paper, the first in a…

Analyzes the allocation of student time from the perspective of economic theory with an economic model that predicts a small increase in educational achievement relative to substantial increases in instructional time. Predictions are supported by empirical evidence. Policy consequences are examined. (MLF)

Pennsylvania's mathematical modeling technique to evaluate tax reform proposals requires the following data: personal income at the local level and measures of the breakdown of property tax payment by land use classification. The simulation technique could be readily adapted in reorganizing educational finance systems. (MLF)

This report provides an extensive discussion of the use of criterion referenced, mathematical modeling procedures to determine which budget reductions minimize reduction in the quality of educational programs. Part I, "Evaluation of Potential Budgeting Roll-backs under Educational Fiscal Crisis," explains the basic design of multiple…

For many years personalization of achievement testing has been impossible in all but the simplest forms. Recently, item response theory (IRT), or latent trait theory, has emerged as a valuable tool which brings far greater flexibility to the process than had previously been possible. The single parameter Rasch Model, a mathematical model developed…

This essay provides commentary on the place of mathematics in the study and practice of educational administration. The incidence of mathematical topics in the writing of the field is explored, and their isolation from each other and from the body of literature is pointed out. Possible areas of synthesis are sought from the traditional use of…